BA/BS->MD/DO programs should be considered reaches, even if hosted at colleges that are not that selective otherwise. Apply to them as well as Rutgers and others (including safeties, of course).
Check carefully about what the requirements are to retain the assured medical school admission, since the college GPA and MCAT requirements to continue to the medical school part of the program vary. Also, check carefully the total cost of the entire program (including the BA/BS costs and the MD/DO costs).
It looks like the BA/BS->MD programs at various colleges leading to Rutgers New Jersey Medical School requires a 3.5 college GPA each semester with no grade lower than B in pre-med courses: http://njms.rutgers.edu/admissions/programs_7_8_year.cfm
It also looks like if you attend Rutgers (New Brunswick or Newark), you can apply to the MD program as a college sophomore: http://njms.rutgers.edu/admissions/programs_articulated.cfm
In-state Rutgers New Jersey Medical School cost is about $70-75k per year: https://financialaid.rutgers.edu/cost-of-attendance/rbhs/njms/ . This is somewhat less than the $100k per year or so that private medical schools are likely to cost.